Application of Pad\'e interpolation to stationary state problems
Abstract
If the small and large coupling behavior of a physical system can be computed perturbatively and expressed respectively as power series in a coupling parameter g and 1/g, a Pad\'e approximant embracing the two series can interpolate between these two limits and provide an accurate estimate of the system's behavior in the generally intractable intermediate coupling regime. The methodology and validity of this approach are illustrated by considering several stationary state problems in quantum mechanics.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.